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Finding the Fourth Proportional to 23,982.48, 35,980.20 and 8,411.04

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Solution

The fourth proportional to 23,982.48, 35,980.20 and 8,411.04 is: 12,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982.48 : 35,980.20 = 8,411.04 : x
  2. Step 2: Convert to fraction form
    23,982.48/35,980.20 = 8,411.04/x
  3. Step 3: Cross multiply
    23,982.48x = 35,980.20 × 8,411.04
  4. Step 4: Simplify right side
    23,982.48x = 302,630,901.41
  5. Step 5: Solve for x
    x = 302,630,901.41/23,982.48
  6. Step 6: Final answer
    x = 12,618.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.